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Euler column buckling predicts critical load at which slender columns fail by instability rather than material crushing. It's essential for structural safety.

Formule

Calculate: P_cr = π²EI/(KL)² where K is effective length factor

KL: KL value — Variable used in the calculation
K: K value — Variable used in the calculation

Guide étape par étape

1Calculate: P_cr = π²EI/(KL)² where K is effective length factor
2Compare to axial compression strength
3Results determine column design adequacy

Exemples résolus

Entrée

E = 200 GPa, I = 2×10⁹ mm⁴, L = 4 m, K = 1 (pinned)

Résultat

P_cr ≈ 2.47 MN (critical load)

Higher leads to buckling

Erreurs courantes à éviter

✕Using unsupported length instead of effective length
✕Neglecting lateral bracing effects on K

Questions fréquentes

Why do long columns fail at lower loads?

Buckling instability dominates; longer unsupported length reduces critical load dramatically (proportional to 1/L²).

What is effective length factor K?

K accounts for end conditions: K=0.5 (fixed-fixed), K=1 (pinned-pinned), K=2 (cantilever).

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